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Resource allocation is the process of optimizing the rare resources. In the area of security, how to allocate limited resources to protect a massive number of targets is especially challenging. This paper addresses this resource allocation…

Computer Science and Game Theory · Computer Science 2019-02-26 Xu Liu , Xiaoqiang Di , Jinqing Li , Huan Wang , Jianping Zhao , Huamin Yang , Ligang Cong

The solution of parity games over pushdown graphs (Walukiewicz '96) was the first step towards an effective theory of infinite-state games. It was shown that winning strategies for pushdown games can be implemented again as pushdown…

Computer Science and Game Theory · Computer Science 2010-06-09 Wladimir Fridman

Graph games are fundamental in strategic reasoning of multi-agent systems and their environments. We study a new family of graph games which combine stochastic environmental uncertainties and auction-based interactions among the agents,…

Computer Science and Game Theory · Computer Science 2024-12-30 Guy Avni , Martin Kurečka , Kaushik Mallik , Petr Novotný , Suman Sadhukhan

Partial order reductions have been successfully applied to model checking of concurrent systems and practical applications of the technique show nontrivial reduction in the size of the explored state space. We present a theory of partial…

Logic in Computer Science · Computer Science 2023-06-22 Frederik Meyer Bønneland , Peter Gjøl Jensen , Kim Guldstrand Larsen , Marco Muñiz , Jiří Srba

We examine perfect information stochastic mean-payoff games - a class of games containing as special sub-classes the usual mean-payoff games and parity games. We show that deterministic memoryless strategies that are optimal for discounted…

Computer Science and Game Theory · Computer Science 2010-06-09 Hugo Gimbert , Wiesław Zielonka

It is well-known that for infinitely repeated games, there are computable strategies that have best responses, but no computable best responses. These results were originally proved for either specific games (e.g., Prisoner's dilemma), or…

Computer Science and Game Theory · Computer Science 2020-06-11 Jakub Dargaj , Jakob Grue Simonsen

Concurrent parameterized games involve a fixed yet arbitrary number of players. They are described by finite arenas in which the edges are labeled with languages that describe the possible move combinations leading from one vertex to…

Logic in Computer Science · Computer Science 2025-05-22 Nathalie Bertrand , Patricia Bouyer , Gaëtan Staquet

Despite numerous countermeasures proposed by practitioners and researchers, remote control-flow alteration of programs with memory-safety vulnerabilities continues to be a realistic threat. Guaranteeing that complex software is completely…

Cryptography and Security · Computer Science 2017-02-20 Martín Ochoa , Sebastian Banescu , Cynthia Disenfeld , Gilles Barthe , Vijay Ganesh

We prove two determinacy and decidability results about two-players stochastic reachability games with partial observation on both sides and finitely many states, signals and actions.

Computer Science and Game Theory · Computer Science 2008-11-26 Nathalie Bertrand , Blaise Genest , Hugo Gimbert

We study multi-player turn-based games played on (potentially infinite) directed graphs. An outcome is assigned to every play of the game. Each player has a preference relation on the set of outcomes which allows him to compare plays. We…

Computer Science and Game Theory · Computer Science 2017-10-06 Véronique Bruyère , Stéphane Le Roux , Arno Pauly , Jean-François Raskin

This paper studies the equilibrium properties of the ``obvious strategy profile'' in large finite-player games. Each player in such a strategy profile simply adopts a randomized strategy as she would have used in a symmetric equilibrium of…

Theoretical Economics · Economics 2025-08-20 Enxian Chen Bin Wu Hanping Xu

Sequential decision making using Markov Decision Process underpins many realworld applications. Both model-based and model free methods have achieved strong results in these settings. However, real-world tasks must balance reward…

Machine Learning · Computer Science 2026-04-01 Janaka Chathuranga Brahmanage , Akshat Kumar

We study finite-memory (FM) determinacy in games on finite graphs, a central question for applications in controller synthesis, as FM strategies correspond to implementable controllers. We establish general conditions under which FM…

Computer Science and Game Theory · Computer Science 2018-10-08 Stéphane Le Roux , Arno Pauly , Mickael Randour

We study online reinforcement learning in average-reward stochastic games (SGs). An SG models a two-player zero-sum game in a Markov environment, where state transitions and one-step payoffs are determined simultaneously by a learner and an…

Machine Learning · Computer Science 2017-12-05 Chen-Yu Wei , Yi-Te Hong , Chi-Jen Lu

A cyber security problem in a networked system formulated as a resilient graph problem based on a game-theoretic approach is considered. The connectivity of the underlying graph of the network system is reduced by an attacker who removes…

Systems and Control · Electrical Eng. & Systems 2023-03-14 Yurid Nugraha , Ahmet Cetinkaya , Tomohisa Hayakawa , Hideaki Ishii , Quanyan Zhu

We investigate symmetric equilibria of mutual reinforcement learning when both players alternately learn the optimal memory-two strategies against the opponent in the repeated prisoners' dilemma game. We provide a necessary condition for…

Physics and Society · Physics 2023-01-03 Masahiko Ueda

Stochastic games are fundamental in various applications, including the control of cyber-physical systems (CPS), where both controller and environment are modeled as players. Traditional algorithms typically aim to determine a single…

Systems and Control · Electrical Eng. & Systems 2025-10-17 Kittiphon Phalakarn , Sasinee Pruekprasert , Ichiro Hasuo

This paper presents a new solution concept for multiplayer stochastic games, namely, acceptable strategy profiles. For each player $i$ and state $s$ in a stochastic game, let $w_i(s)$ be a real number. A strategy profile is…

Computer Science and Game Theory · Computer Science 2016-08-19 Eilon Solan

We consider quantitative notions of parity automaton and parity game aimed at modelling resource-aware behaviour, and study (memory-full) strategies for exhibiting accepting runs that require a minimum amount of initial resources,…

Logic in Computer Science · Computer Science 2019-09-18 Corina Cîrstea

We study a class of two-player competitive concurrent stochastic games on graphs with reachability objectives. Specifically, player 1 aims to reach a subset $F_1$ of game states, and player 2 aims to reach a subset $F_2$ of game states…

Systems and Control · Electrical Eng. & Systems 2023-03-24 Chongyang Shi , Shuo Han , Jie Fu